I just looked at the datasheet for the "classic" LM741 and it shows a maximum of 2.8mA. With an oscilloscope (at least 10 meghoms?) you'll have essentially no current into the load so that should be about it for the op-amp.
The condenser mic also needs a couple of milliamps (unless it has it's own battery).* And if you are using a single-ended power supply (i.e. one battery), you'll need some additional biasing resistors and those will draw some current.
- If the mic doesn't have it's own battery, make sure your circuit supplies DC power to the condenser. Condenser mics made for live performance use (usually) have their own battery. Computer mics get their power from the soundcard.